We can represent the information in a diagram:
Therefore, the triangle can be brought out as
To find the value of the unknown side, x, we can use the Pythagorean Theorem:
Therefore,
[tex]\begin{gathered} 13^2=12^2+x^2 \\ x^2=13^2-12^2 \\ x^2=169-144=25 \\ x=\sqrt[]{25} \\ x=5 \end{gathered}[/tex]
Therefore, sin θ can be given using the ratio opposite : hypotenuse.
Hence
[tex]\sin \theta=\frac{5}{13}[/tex]
